Choose the correct option- -100101-3

The correct option is A 100^3101^3 Now [ 100 101 #160; ] ^ 3 = 10 0^ 3 101^ 3 ( ∵( a ^ m b ^ m #160; ) =( a b #160; ...

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Byju's Answer

Standard XII

Mathematics

Greatest Binomial Coefficients

Choose the co...

Question

Choose the correct option:
${[\frac{100}{101}]}^{3}$

\frac{100^{3}}{101^{3}}

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\frac{100^{4}}{101^{4}}

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\frac{1000^{2}}{101^{2}}

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\frac{100}{101}

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Solution

The correct option is A $\frac{100^{3}}{101^{3}}$
$N o w {[\frac{100}{101}]}^{3} = \frac{10 0^{3}}{101^{3}} (∵ (\frac{a^{m}}{b^{m}}) = {(\frac{a}{b})}^{m})$

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Similar questions

In each of the problems below the result of doing some operation on a number is given. Find the number?

1). $3$ added to double is $101.$

2). $2$ added to triple is $101.$

3). $3$ subtracted from double is $101.$

4). $2$ subtracted from triple is $101.$

Q. If

a = {(100)}^{1 / 100}

and

b = {(101)}^{1 / 101}

then

$s i n^{- 1} x + s i n^{- 1} y + s i n^{- 1} z = \frac{3 π}{2},$ then the value of $x^{100} + y^{100} + z^{100} - \frac{9}{x^{101} + y^{101} + z^{101}} =$

Q. lf

{sin}^{- 1} x + {sin}^{- 1} y + {sin}^{- 1} z = \frac{3 π}{2}

, then

x^{100} + y^{100} + z^{100} - \frac{9}{x^{101} + y^{101} + z^{101}} =

Q. If

s i n^{- 1} x + s i n^{- 1} y + s i n^{- 1} z = \frac{3 π}{2}

, the value of

x^{100} + y^{100} + z^{100} - \frac{9}{x^{101} + y^{101} + z^{101}}

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Choose the correct option:[100101]3

The correct option is A 10031013Now[100101]3=10031013(∵(ambm)=(ab)m)

Choose the correct option:
${[\frac{100}{101}]}^{3}$

The correct option is A $\frac{100^{3}}{101^{3}}$
$N o w {[\frac{100}{101}]}^{3} = \frac{10 0^{3}}{101^{3}} (∵ (\frac{a^{m}}{b^{m}}) = {(\frac{a}{b})}^{m})$